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Finite Time Estimation via Piecewise Constant Measurements ⋆

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Abstract

We study a broad class of linear continuous-time time-varying systems that contain piecewise continuous disturbances and piecewise constant outputs. Under an observability assumption, we construct a new type of observer to estimate the state of the system in a predetermined finite time in the presence of the disturbances. In contrast to the well-established finite time observer design techniques which estimate the system state using a continuous output, our proposed observer only requires a piecewise constant output. Our simulations illustrate the efficacy of our observer.
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Dates and versions

hal-01848996 , version 1 (25-07-2018)

Identifiers

  • HAL Id : hal-01848996 , version 1

Cite

Frédéric Mazenc, Saeed Ahmed. Finite Time Estimation via Piecewise Constant Measurements ⋆. Second IFAC Conference on Modelling, identification and Control of Nonlinear Systems, Jun 2018, Guadalajara, Mexico. ⟨hal-01848996⟩
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